Which one of the following is arehjg8yy8c7n+u qn ke;g 6 1;gn example of a vector quantity?

  Which of the following operations will not change a vector?6xeom1e x dpq9(y-v8/l /csgm

  Which of the following is an accurate statem+svm:5odb phjzl;omop o d*jp(30w b;g: e 8o7ent?

  The resultant of two vectors is the smallest when the ang yuz:;sy6kmrevm ;w 84t o9n)ile between them is

  Two displacement vectors have magnitudes of 5.0 m a)(efv/s 0yny+t pvn-jm d6va1nd 7.0 m, respectively. When these two vectors are added, the magnitun()sv+ ap1/ -06d vmvjyenftyde of the sum

  Two vectors, of magnitudes 20 and 50,a, w pjj3(+tcj 9u5-rx: ubgvn are added. Which one of the following is a u j3ju+npbwj5( ta :rv,g- x9cpossible answer for the magnitude of the resultant?

  Three forces, each having sv 7ibgq p 85va+gjim4 ;2stx0fq: na;a magnitude of 30 N, pull on an object in directions t +gx qfa :4a0nvp28;g7tsiqi5b;smj v hat are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vector 6hjzr1s8cdao w , (x06(awilci;w n 6ois

  Ignoring air resistance, the horizo,9 0aox v 4lkoyvvg55qntal component of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at an angled4; blh/ tl 740rjasow of 60e above the horizontal. What is the horizontal tl4 d/jsr;h74wl0aob component of its instantaneous velocity at the exact top of its trajectory?

  Ignoring air resistance, the honi*m6 + drj/jqna:ls7rizontal component of a projectile's acceleration/ djqjr*:sa6mnli7+ n

  A soccer ball is kicked with a velocity of 25 m/s at an angle f jmfd8b,l v*/of $45^{\circ}$ above the horizontal. What is the vertical component of its acceleration as it travels along its trajectory?

  If the acceleration vecvbcu, +t3 yfx6tor of an object is directed anti-parallel to the velocity vectorfc6, bxv3 tu+y,

  If the acceleration of an object is alwu e7l1z+hr.y,mxzk .igx) 0seays directed perpendicular to its velocity y10.rkzxsugx e7e.+l ,mz)hi,

  At what angle should a water-gun be aim jf/lwc n 1bm4 a2newyo7r*x3.ed in order for the water to land with the greatest horilec .1w/anjon7x4bmy* wf2 r3zontal range?

  An Olympic athlete throws a javelin at four differ ak22sqflzvp0fjt.y 7 /0kp; vent angles above the horizontal, ep2tk/svv ypffqlzj07a .20;kach with the same speed: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, and $80^{\circ}$. Which two throws cause the traveling to land the same distance away?

  You are throwing a ball for the s9,nu s2zcnvvl:twu n:zml2 , 8econd time. If the ball leaves your hand with twice the velocitym,cv:llz2 tsunun8 w:z 92v,n it had on your first throw, its horizontal range R (compared to your first serve) would be

  A ball is thrown at an original speed of 8.0 m/s a(- ih+nbjn9 itt an angle of $35^{\circ}$ above the horizontal. What is the speed of the ball when it returns to the same horizontal level?

  When a football in a field goal attempt reaches its maximum height, how does i sfk7).k-k res;3e24q cqctruts speed compare tosek.4c ec7r)3ks tq r2k -qfu; its initial speed?

  A stone is thrown horizo:tdj58 jpyl ez 5zlnyza/o*8;ntally from the top of a tower at the same instant a ball is dropped vertically. Which object is traveling faster when ndp/o*ltzjlez85ayy5; 8:j z it hits the level ground below?

  A bullet is fired horizontally, and at the same i7fo d :c*iban6nstant a second bullet is dropped from the fo:b*i ca67dnsame height. Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 50.0 m/s and at an j0(0h7yxtpm t elevation of 160 m drops a package. Two seconds later it drops a second packxyt0jt0p7( hm age. How far apart will the two packages land on the ground?

  A package of supplies is dropped from a plane, and one second later a second p7wl4 l6c:af ywl60x ibackage is dropped. fil l 6xblyw0w c7a64: Neglecting air resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at a constant speed.x 91-p9 +,rziod2gjjhm 9hi ao Neglecting air resistance, when the bomb hits the ground the horizontal location of the planed+g2,zp 1 io-mxh 9jr9 o9haji will

  The acceleration of gravity on the Moon is only one-sixth of,aeiu /htr e6sasql+,.:ak vh,( ul9x that on Earth. If you hit a baseball on the Moon with the same effort (and at the speed and angle) that you wouldhl.(, hsa+qleai sau6tekr v /:,u x9, on Earth, the ball would land

  You are traveling at 55 mi/h in gi,xbch :dj k2*bgq+4h 6f:kn the +x axis relative to a straight, level road and pass a car traveling at 45 mi/h. The relati4cf6g+2ih,:hb*q xk:nd j gkbve velocity of your car to the other car is

  You are trying to cross a river that flows due south with a strong current. You*0h (16;bm hea hxfndu start out in your motorboat on the east bank desd;af 1bn( x*0hu6 ehmhiring to reach the west bank directly west from your starting point. You should head your motorboat

  Your motorboat can move at 30 km/h in still water. How muchbx: v0y5smae2 time will it take you to move 12 km d0besy52m :vaxownstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle h o.l: ujrixp;.cnb7qnu .3-uof 30 degrees below the +x axis. The y cpx;.q:hn7u..n ic3lrouubj - omponent of A is

  If a ball is thrown with a velocity of /wlpwn(n)ur tcv 9)e825 m/s at an angle of $37^{\circ}$ above the horizontal, what is the vertical component of the velocity?

  If you walk 6.0 km in a straight line in a direction north of east and you enp1cnt7 ri 9 iubz7d((ad ua (b 1id7uriz 7n9cp(tp 2.0 km north and several kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x component of its velocity is2 5 gp7hjq0zxk 8.00 m/s. The angle betwx7z50 q k2gpjheen the direction of its motion and the x axis must be

  A 400-m tall tower casts a 6m7tk of5w 3n)u00-m long shadow over a level ground. At what angle is the Sun eleu3mt5n )wf7okvated above the horizon?

  Two vectors A and +nrbiv .1h47y qn ns2gB have components (0, 1) and (-1, 3), respectively. What are the components of the +q1vi2 7 ghsy.n4bnn rsum of these two vectors?

  Two vectors A and B have components (amr64ypejn 6f*io2 lx;jxjc a0x9(: i 0, 1) and (-1, 3), respectively. What is magnitude of the sum of these two v;jj60 6xn a9* f xxi:lomipa4 (jr2ecyectors?

  Vector A = (1, 3). Vyd4is s(82 nm3ut7omt ector B = (3, 0). Vector C = A + B . What is the magnitude of 4t umo7y( 3mtn8dssi2 C ?

  A car travels 20 km West, then 20 km South. What is the magnitude of its dimh3i7nvuu ho+ tx58f79ii+ visplacemv5t++n8hv3x9uu i7 ifoh im7ient?

  Three vectors, expressed in Cartesian coordinates, wx+a3irk4 *nspdx :6 vare
S = (-3.5,+4.5)
T = (0,-6.5)
U = (+5.5,-2.5)
What is the magnitude of the resultant vector S + T + U ?

  Three vectors, expred9 /bgyh t6dsp y.+6fqssed in Cartesian coordinates, are
S = (-3.5,+4.5)
T = (0,-6.5)
U = (+5.5,-2.5)
What is the angle of the resultant vector S + T + U measured from the positive x axis?

  If vector A = (-3.0, - 2k,ds6*xsbsen3 w4o, gs, rho4.0) and vector B = (+3.0, -8.0), what is the magnitude of vector C = A - B ? 4e 3d h,gs ws2ksnb,o,or6*sx

  A runner runs halfway anl 2urde*)ht3np5f + dround a circular path of radius 10 m. What is the displacement of the jtnu)*npe h23 fd5rl d+ogger?

  Two forces are acting on an object as shown in Fig. 3-1. What is the magnitudxz6v/6mde : yvyd: db4m;c q)de of the resultant fozdybqm/:c d xv;medy6) d6v :4rce?

  Two forces are acting on an object as shown in Fig. 3-1. What i mc r 03ez-ofo8l(z7pns the direction n7 8z 3z o-rf(0mpoeclof the resultant force?

Vector A is 5.5 cm long and points along the x axis. Vector B is 7.5 cm long ans/m)zq ,a7t.s hqps(j mxcp7 0d points at +30e to tssqa(mmz) js0 h /7.p,pxt7cqhe negative x axis.
(a) Determine the x and y components of Vector A .
(b) Determine the x and y components of Vector B.
(c) Determine the sum of these two vectors in terms of components.
(d) Determine the sum of these two vectors in terms of magnitude and direction.

Vector A is 75.0 cm lox dz v7s8;qpv5ng and points at $30^{\circ}$ above the positive x axis. Vector B is 25.0 cm long
and points along the negative x axis. Vector C is 40.0 cm long and points at $45^{\circ}$ below the negative x axis.
(a) Determine the x and y components of Vector A .
(b) Determine the x and y components of Vector B .
(c) Determine the x and y components of Vector C .
(d) Determine the sum of these three vectors in terms of components.
(e) Determine the sum of these three vectors in terms of magnitude and direction.

  A stone is thrown hori c2i ;z;3x45u gvxrznmzontally with an initial speed of 10 m/s from the edge of a3mg;5xu zi cx2nzv4r ; cliff. A stop watch measures the stone's trajectory time from the top of the cliff to the bottom to be 4.3 s. What is the height of the cliff?

  A girl throws a rock horizontally, wz p9laz44 j(adith a velocity of 10 m/s, from a bridge. It falls 20 m to the water below. How4djapz 49alz( far does the rock travel horizontally before striking the water?

  A ball thrown horizontally from a point 24 m above the ground, strikes the gy(w/ .mljw y qg,.ud5xround after .y x.,j /qylwu(w gdm5traveling horizontally a distance of 18 m. With what speed was it thrown?

  A jumper in the long-jump goesn/t1d9l5 pls+m 6x:js zvge:u into the jump with a speed of 12 m/s at an angle of5utdne:v6lsj9/: +l1pm z gsx $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-jump goes into the jump with a speed of 12 m/s arfribc- *3mph, *j m8hzxt)sd 18nb,rt an angle ofr138mxz*bhn r,fst r, i*)d8hbmjpc- $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 60.0 m/s at an a6)b/ hie5vqcq d1y lw4ngle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an i,* ei0z y fz1e+ 0ofw2td4ct9rk ou(ounitial velocity of 60.0 m/s at an angle of $30.0^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at lur ).a 1c8k5b)w+flu xdvhr ;an angle of $30^{\circ}$ below the horizontal with an initial velocity of 800 m/s from the top of a cliff 80 m high. How far from the base of the cliff does it strike the level ground below?

A projectile is shot horizoa )8 ;keqn(m2 tef4iadntally at 23.4 m/s from the roof of a building 55.0 m talet4 k2);mn a 8aidef(ql.
(a) Determine the time necessary for the projectile to reach the ground below.
(b) Determine the distance from the base of the building that the projectile lands.
(c) Determine the horizontal and vertical components of the velocity just before the projectile reaches the ground.

A projectile is fired from ground level with an 7d o 6gj,oel0jinitial speed of 55.6 m/s at an angle of oj0l 7,eojgd6 $41.2^{\circ}$ above the horizontal.
(a) Determine the time necessary for the projectile to reach its maximum height.
(b) Determine the maximum height reached by the projectile.
(c) Determine the horizontal and vertical components of the velocity vector at the maximum height.
(d) Determine the horizontal and vertical components of the acceleration vector at the maximum height.

  On a calm day (no wind), you can run a 1500-m race at a vel)+ a6ptbjwli ,ocity of 4.0 m/s. If you ran the same race on a day when you had a constant headwind which slows your speed by 2.0 m/s, the time iti p) la,jwbt6+ would take you to finish would be

  A plane has an air speed of 200 m/s due North, and i. gvi,sj54qvb s in a wind of 50.0 m/s to the West. The plane'.v vji4 ,bgq5ss speed relative to the ground is

  A plane is flying due 9,2lw1gidw 49k; zfsj0ey7eliq 8qiq South ($270^{\circ}$) at 500 km/h. A wind blows from East to West ($180^{\circ}$) at 45.0 km/h. Find the plane's velocity with respect to the ground.

  An airplane with a speed of 120 km/h is ,k/p( u5ldj3q ic5z .ypk/usjheaded $30.0^{\circ}$ east of north in a wind blowing due west at 30.0 km/h. What is the speed of the plane relative to the ground?

  A fighter plane moving 200 m/s horizontally fires a projectile wit 2ylu55 cdzgj/h speed 50.0 m/s in a forward dire/l2u5 g d5zcjyction $30.0^{\circ}$ below the horizontal. What is the speed of the projectile with respect to a stationary observer on the ground?

  A boat, whose speed in *nv clq aogk/.9iy 8/cstill water is 8.0 m/s, is directed across a river with a current of 6.0 m/s. Wh 9nicva 8*c/qylogk./ at is the speed of the boat as it crosses the river?

  The driver of a motorb,lt6 ljr p/4fnoat that can move at 10 m/s in still water wishes to travel directly across a river 1.6 km wide in which the current flows npl46fj /t, lrat 5.0 m/s. How long will it take to cross the river?

  The driver of a motorboat that can move at 10 m/s in stillldtx 6z 3h4wni04* kdn6 wif5p water wishes to travel directlypf xwn 64*iwzdi 3ln6 0kd4ht5 across a narrow strait in which the current flows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly acrohqalzh)n2)o*zslyv/uu5 3(ww )l 4 ypss a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. How fast can she swim in still wate*o(l3hn w l/lwzu)aqhsy ) uz4yp2v5 )r?

  A swimmer heading directly across a river 200 m wide reaches the opposite lbjq xk:)jb9joo o7bm5*(z )w bank in 6 min 40 s. Sm)w)9o(bbobjo l*j:kzjx75qhe is swept downstream 480 m. What is the speed of the current?

A boat, whose speed in still watltykh5n /j lhg)8+xliu/:n1zp bu3x (er is 1.75 m/s, must aim upstream at an angle of zxjgynu u )n/kl3+(t 1xb :p8hlh5/il$26.3^{\circ}$ (with respect to a line perpendicular to the shore) in order to travel directly across the stream.
(a) Determine the speed of the current.
(b) Determine the resultant speed of the boat with respect to the shore.